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Finding the Fourth Proportional to 452.33, 624.32 and 255.90

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Solution

The fourth proportional to 452.33, 624.32 and 255.90 is: 353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.33 : 624.32 = 255.90 : x
  2. Step 2: Convert to fraction form
    452.33/624.32 = 255.90/x
  3. Step 3: Cross multiply
    452.33x = 624.32 × 255.90
  4. Step 4: Simplify right side
    452.33x = 159,763.49
  5. Step 5: Solve for x
    x = 159,763.49/452.33
  6. Step 6: Final answer
    x = 353.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.